From what I understand, electromagnetic radiation produced by an antenna is of the frequency that corresponds to the motion of the electrons moving around in the antenna. And I assume that the electrons in most set ups are generally vibrating in an approximately sinusoidal motion. But sinusoidal is definitely not the only periodic shape we can get electrons to vibrate in. We can have square waves or saw-tooth waves.
My question is is there any detectable difference or any additional theoretical property individual photons have that are produced or carry some other non-sinusoidal wave shape, or are photons' energy states fully described by their frequency?
To be clear I'm interested in the resulting properties of individual quanta and not statistical group properties.